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The representation of functions as Laplace transforms. (English) Zbl 0134.10402


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[1] Berens, H., u.P. L. Butzer: Über die Darstellung holomorpher Funktionen durch Laplace- und Laplace-Stieltjes-Integrale. Math. Z.81, 124-134 (1963). · Zbl 0115.09802
[2] ?? ?? Über die Darstellung vektorwertiger holomorpher Funktionen durch Laplace-Integrale. Math. Ann.158, 269-283 (1965). · Zbl 0127.06002
[3] Cooper, J. L. B.: Fourier transforms and inversion formulae forL D functions. Proc. London Math. Soc. (3),14, 271-298 (1963). · Zbl 0123.08702
[4] Doetsch, G.: Handbuch der Laplace-Transformation, I. Basel: Birkhäuser 1950. · Zbl 0040.05901
[5] Dunford, N., andJ. T. Schwartz: Linear operators, I. Interscience, N.Y. 1958. · Zbl 0084.10402
[6] Hille, E., andJ. D. Tamarkin: On the theory of Laplace integrals. Proc. Nat. Acad. Sci.19, 908-912 (1933);20, 140-144 (1934). · Zbl 0008.01103
[7] Pólya, G., u.G. Szegö: Aufgaben und Lehrsätze aus der Analysis, I. Berlin: Springer 1925.
[8] Titchmarsh, E. C.: Theory of Fourier Integrals. Oxford 1937. · Zbl 0017.40404
[9] – Theory of functions. Oxford 1932. · Zbl 0005.21004
[10] Widder, D. V.: The Laplace Transform. Princeton 1946. · Zbl 0060.24801
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